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Finding the Fourth Proportional to 588.57, 880.88 and 542.70

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Solution

The fourth proportional to 588.57, 880.88 and 542.70 is: 812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.57 : 880.88 = 542.70 : x
  2. Step 2: Convert to fraction form
    588.57/880.88 = 542.70/x
  3. Step 3: Cross multiply
    588.57x = 880.88 × 542.70
  4. Step 4: Simplify right side
    588.57x = 478,050.86
  5. Step 5: Solve for x
    x = 478,050.86/588.57
  6. Step 6: Final answer
    x = 812.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.